Question

related questions: lesson 6: common algebra word problems

type the answer in the box, using whole numbers.

q. five times the sum of a number and 11 is 75. what is the number?

Explanation:

Translate the verbal statement into an algebraic equation

Using the Algebraic Expressions knowledge point
Let \(x\) represent the unknown number.
"The sum of a number and 11" is written as:

$$x + 11$$

"Five times the sum of a number and 11 is 75" is written as:

$$5(x + 11) = 75$$

Solve the multi-step equation for x

Using the Solving Multi-Step Equations knowledge point

$$
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$$

Answer:

Five times the sum of a number and 11 is 75. What is the number? <blank>4</blank>